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Finding the Third Proportional to 38,570,256 and 82,371,429

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Solution

The third proportional to 38,570,256 and 82,371,429 is: 175,914,111.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,570,256 : 82,371,429 = 82,371,429 : x
  2. Step 2: Convert to fraction form
    38,570,256/82,371,429 = 82,371,429/x
  3. Step 3: Cross multiply
    38,570,256x = 82,371,429 × 82,371,429
  4. Step 4: Simplify right side
    38,570,256x = 6,785,052,315,502,041
  5. Step 5: Solve for x
    x = 6,785,052,315,502,041/38,570,256
  6. Step 6: Final answer
    x = 175,914,111.52

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.